Special Year in Algebraic Geometry

代数几何特别年

• 批准号: 9402837
• 负责人: Sheldon Katz
• 金额: $ 2.95万
• 依托单位: Oklahoma State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9402837&HistoricalAwards=false
• 关键词: Special; Year; Algebraic; Geometry

9402837 Katz This award supports a special year in algebraic geometry at Oklahoma State, focusing on mirror symmetry, Donaldson theory for algebraic surfaces, and related areas. These are areas of algebraic geometry for which connections with different areas of mathematics and physics are apparent and emerging. There will be 2-4 visitors in residence for the academic year in addition to the three permanent algebraic geometers on the faculty. In addition, there will be atleast 55 short term visitors; many of these will be participants in two 3 day workshops. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Orginally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology. Moreover, it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.

9402837卡茨这个奖项支持俄克拉荷马州立大学代数几何的一年，重点是镜面对称性、代数曲面的唐纳森理论和相关领域。这些是代数几何的领域，它们与数学和物理的不同领域的联系是显而易见的和正在形成的。除了教职员工中的三名永久代数几何教师外，本学年还将有2-4名参观者入驻。此外，将有至少55名短期参观者；其中许多人将参加两个为期3天的研讨会。这项研究是在代数几何领域进行的，代数几何是现代数学中最古老的部分之一，但在过去的10年里，它发展到了解决了几个世纪以来的问题的地步。最早，它用最简单的方程，即多项式来处理平面上定义的图形。今天，该领域不仅使用代数方法，还使用分析和拓扑学方法。此外，它在物理、理论计算机科学、密码学、编码理论和机器人学等领域都证明了自己的有用。